On the q-deformed modified Korteweg-de Vries hierarchy

Authors
Tu, MH Lee, CR
Citation
Mh. Tu et Cr. Lee, On the q-deformed modified Korteweg-de Vries hierarchy, PHYS LETT A, 266(2-3), 2000, pp. 155-159
Citations number
15
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS A
ISSN journal
03759601 → ACNP
Volume
266
Issue
2-3
Year of publication
2000
Pages
155 - 159
Database
ISI
SICI code
0375-9601(20000221)266:2-3<155:OTQMKV>2.0.ZU;2-Z
Abstract
We discuss the q-deformed modified KdV hierarchy by factorizing the Lax ope rator of the q-deformed KdV (q-KdV) hierarchy into multiplication form whic h defines a q-deformed Miura transformation. We show that the modified hier archy flows are invariant under cyclic permutations of the Miura variables and, hence, generates Backlund transformations of the q-KdV hierarchy. (C) 2000 Elsevier Science B.V. All rights reserved.